Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720bu |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-28689339248640000 = -1 · 215 · 35 · 54 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69665,10816737] |
[a1,a2,a3,a4,a6] |
j |
-1141100604753992/875529151875 |
j-invariant |
L |
2.7438228113532 |
L(r)(E,1)/r! |
Ω |
0.34297785141916 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6720ci4 3360k4 20160ej4 33600gf3 |
Quadratic twists by: -4 8 -3 5 |